You have to take stock of your goals for the evening. E.g., does the game need to wrap up at a certain time?
I'm someone who doesn't mind playing a game for literal days. However, if you need the game to end at a certain time, then that means there's an implicit time-limit on play. That, to me, strongly suggests you want to keep the timer in play.
I would make the decision up front that the timer will be in play and decide for yourself what a maximum timer duration could be for your time requirements. Then, I'd announce it to the group ahead of time and allow the group to discuss what a reasonable timer duration should be.
As an aside, time limits like these are often not arbitrary and are part of the rules for game or experience reasons. Bullet is supposed to invoke similar feelings to a bullet-hell shooter. Removing the time limit, to me, seems like just choosing to play an entirely different game. A significant part of the game is being able to make decisions while under the stress of a time limit.
Similarly, I view the timer in Cosmic as intentional. The original Eon edition called the cards "Compromise" cards. I believe the intention was to force a compromise (as in, neither player necessarily gets an optimal outcome) I think it hurts the game to allow players to be able to entirely analyze the situation in order to make an objectively optimal decision.
Price per unit time suggests that the only value of a game is in how much time it consumes.
The value calculus is going to be different for everyone but for me, I tend to look for:
A game which is a game first and foremost rather than an entertainment experience. That is to say: something that demands decision making of me in which I can either increase or decrease the payoffs of those decisions. Games which focus heavily on cinematic scenes, heavy QTEs, or long dialogs disinterest me.
I am often willing to take a punt on a game that tries to do something creative and interesting.
I tend to not like games that demand a high degree of memorization and/or dexterity.
Games which perform well. A recent example of a regretful purchase I made was with Shin Megami Tensei V. I adore the series but the framerate on the Switch really brought my experience down to a level where I just didn't want to play anymore.
The weights of these things will change from game to game and other elements may enter or exit the equation from time to time, of course.
tri-Ace games have fantastic combat mechanics, imo. Give the original Valkyrie Profile, any Star Ocean (later games have more intricate combat), or Resonance of Fate a spin.
Yeah, I'm rather bored with the wide-but-shallow approach Bethesda games take. Tons of geography with maybe 20% filled with things of consequence. I am uninterested in collecting 42,000 wheels of cheese or finding some random space hobo on a planet.
Wireless. While players should be unpairing any controllers prior to their matches, sometimes they don't and a third party can wirelessly interfere (intentionally or not) with a match.
I think it's just an effort to collect a licensing fee.